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Finding the Fourth Proportional to 949.90, 1,426.20 and 744.70

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Solution

The fourth proportional to 949.90, 1,426.20 and 744.70 is: 1,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.90 : 1,426.20 = 744.70 : x
  2. Step 2: Convert to fraction form
    949.90/1,426.20 = 744.70/x
  3. Step 3: Cross multiply
    949.90x = 1,426.20 × 744.70
  4. Step 4: Simplify right side
    949.90x = 1,062,091.14
  5. Step 5: Solve for x
    x = 1,062,091.14/949.90
  6. Step 6: Final answer
    x = 1,118.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.